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Computation of the state probabilities in a class of semi-regenerative queueing models

In: Semi-Markov Models

Author

Listed:
  • Helmut Schellhaas

    (Technische Hichschule Darmstadt, Fachbereich Mathematik)

Abstract

One of the standard problems in queueing analysis concerns the computation of the steady state probabilities. In recent years significant contributions to this problem have been made. Important research papers by M.F. Neuts in the context of phase type distributions and by H.C. Tijms and M.H. Van Hoorn in the context of regenerative processes were very stimulating for our investigations. We refer to Neuts (1981), (1984) and the literature cited there and to Tijms and Van Hoorn (1981) and Van Hoorn (1983). In thie paper we consider the unifying queueing model including several well known models as special cases. Using a semi-regenerative analysis we develop an efficient and stable algorithm for the computation of the steady state probabilities. The usefulness of the results is demonstrated by applications to several modifications of state dependent M/G/1 queues.

Suggested Citation

  • Helmut Schellhaas, 1986. "Computation of the state probabilities in a class of semi-regenerative queueing models," Springer Books, in: Jacques Janssen (ed.), Semi-Markov Models, pages 111-130, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-0574-1_8
    DOI: 10.1007/978-1-4899-0574-1_8
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